Systems of Word Equations and Polynomials: a New Approach
We develop new polynomial methods for studying systems of word equations. We use them to improve some earlier results and to analyze how sizes of systems of word equations satisfying certain independence properties depend on the lengths of the equations. These methods give the first nontrivial upper...
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| Format: | Article |
| Language: | English |
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Open Publishing Association
2011-08-01
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| Series: | Electronic Proceedings in Theoretical Computer Science |
| Online Access: | http://arxiv.org/pdf/1108.3637v1 |
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doaj-e34651861e784964899900e8c7a2710d |
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Article |
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doaj-e34651861e784964899900e8c7a2710d2020-11-25T00:20:54ZengOpen Publishing AssociationElectronic Proceedings in Theoretical Computer Science2075-21802011-08-0163Proc. WORDS 201121522510.4204/EPTCS.63.27Systems of Word Equations and Polynomials: a New ApproachAleksi SaarelaWe develop new polynomial methods for studying systems of word equations. We use them to improve some earlier results and to analyze how sizes of systems of word equations satisfying certain independence properties depend on the lengths of the equations. These methods give the first nontrivial upper bounds for the sizes of the systems.http://arxiv.org/pdf/1108.3637v1 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Aleksi Saarela |
| spellingShingle |
Aleksi Saarela Systems of Word Equations and Polynomials: a New Approach Electronic Proceedings in Theoretical Computer Science |
| author_facet |
Aleksi Saarela |
| author_sort |
Aleksi Saarela |
| title |
Systems of Word Equations and Polynomials: a New Approach |
| title_short |
Systems of Word Equations and Polynomials: a New Approach |
| title_full |
Systems of Word Equations and Polynomials: a New Approach |
| title_fullStr |
Systems of Word Equations and Polynomials: a New Approach |
| title_full_unstemmed |
Systems of Word Equations and Polynomials: a New Approach |
| title_sort |
systems of word equations and polynomials: a new approach |
| publisher |
Open Publishing Association |
| series |
Electronic Proceedings in Theoretical Computer Science |
| issn |
2075-2180 |
| publishDate |
2011-08-01 |
| description |
We develop new polynomial methods for studying systems of word equations. We use them to improve some earlier results and to analyze how sizes of systems of word equations satisfying certain independence properties depend on the lengths of the equations. These methods give the first nontrivial upper bounds for the sizes of the systems. |
| url |
http://arxiv.org/pdf/1108.3637v1 |
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AT aleksisaarela systemsofwordequationsandpolynomialsanewapproach |
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